Week 1

Week 1 (at Holmes Hall [map])

    • Welcome and introduction to SURIEM 2016. (Mon., May 23)
    • Overview of the various projects. Here are slides for the Mathematics of MRI project. (Mon., May 23)
    • Tutorials on using Matlab, Sage and Latex (Tue. May 24)

Introduction to Matlab (at Wells Hall [map], room B110F)

In this project, we will make extensive use of a software tool called Matlab. To get familiar with this tool, complete the Matlab tutorial here. This will take you about 2 hours and you will need an internet-enabled computer. Other helpful Matlab links can be found in the document here.

Reading Assignments

  • Read Chapter 2 (Fourier Series) of Fourier Analysis and its Applications by Folland.
  • Read Chapter 3 (MR Overview) from Principles of Magnetic Resonance Imaging by Nishimura.

Test Your Understanding

    • Work through Exercise A on Fourier series. This requires you to have read through Chapter 2 of Folland. Note that with each section you read, you can attempt the corresponding set of problems.

Matlab-based Project Overview

Work through Exercise B to get an overview of what you will be doing over the course of the REU. Should you choose to join this project, you will explore the mathematical basis behind each of the steps in greater detail over the next few weeks. You will also develop new theoretical results, in addition to learning how to code and implement the methods you develop in Matlab.

Assignments to be completed on Friday, May 27

  • Go to the MSU computer store to be able to use Matlab on your laptop (so that your hands are not tied over the weekend).
  • Two of you should summarize what you learned today in the form of a Preliminaries section in a paper.
  • Two of you should put this in the form of a Beamer Presentation for the first 5-10 minutes of your presentation for next Friday.

Assignments to be completed by Tuesday, May 31

  • Read Section 2.1 of Fourier Analysis and its Applications by Folland (pages 18-31). If you find Folland too terse, read the first chapter of the following Lecture Notes, instead.
  • Each one of you should present one of the following problems from Section 2.1 in Folland: 2, 10, 16, 18.